View in EDS

The cyclic diagnosability of ([formula omitted])-star graphs under the PMC and MM* models.

Saved in:
Bibliographic Details
Title: The cyclic diagnosability of ([formula omitted])-star graphs under the PMC and MM* models.
Authors: Quanhao, Shangguan1,2 (AUTHOR), Chen, Guo1,2,3 (AUTHOR) bearr@21cn.com, Xiao, Zhifang2,3 (AUTHOR)
Source: Discrete Applied Mathematics. Jan2026, Vol. 378, p727-739. 13p.
Subjects: Star graphs (Graph theory), Multiprocessors, Topological property
Abstract: In order to comprehensively assess the diagnostic capabilities of multiprocessor systems, Zhang et al. introduced the cyclic diagnosis. The cyclic diagnosability of graph G , denoted by c t (G) , identifies the system's diagnosability by imposing additional conditions. These conditions specifically require the survival graph to be disconnected, and at least two of its components containing cycles. In this paper, we explore the topological properties of (n , k)-star graph and as a result, the cyclic diagnosability of S n , k under the PMC and MM* models is determined as n + 3 k − 7 ≤ c t (S n , k) ≤ 2 n + 2 k − 7 , for n > k ≥ 3 , n − k ≥ 4. [ABSTRACT FROM AUTHOR]
Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 188801589
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: The cyclic diagnosability of ([formula omitted])-star graphs under the PMC and MM* models.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Quanhao%2C+Shangguan%22">Quanhao, Shangguan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chen%2C+Guo%22">Chen, Guo</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> bearr@21cn.com</i><br /><searchLink fieldCode="AR" term="%22Xiao%2C+Zhifang%22">Xiao, Zhifang</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Jan2026, Vol. 378, p727-739. 13p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Star+graphs+%28Graph+theory%29%22">Star graphs (Graph theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Multiprocessors%22">Multiprocessors</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+property%22">Topological property</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In order to comprehensively assess the diagnostic capabilities of multiprocessor systems, Zhang et al. introduced the cyclic diagnosis. The cyclic diagnosability of graph G , denoted by c t (G) , identifies the system's diagnosability by imposing additional conditions. These conditions specifically require the survival graph to be disconnected, and at least two of its components containing cycles. In this paper, we explore the topological properties of (n , k)-star graph and as a result, the cyclic diagnosability of S n , k under the PMC and MM* models is determined as n + 3 k − 7 ≤ c t (S n , k) ≤ 2 n + 2 k − 7 , for n > k ≥ 3 , n − k ≥ 4. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=188801589
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.dam.2025.09.026
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 727
    Subjects:
      – SubjectFull: Star graphs (Graph theory)
        Type: general
      – SubjectFull: Multiprocessors
        Type: general
      – SubjectFull: Topological property
        Type: general
    Titles:
      – TitleFull: The cyclic diagnosability of ([formula omitted])-star graphs under the PMC and MM* models.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Quanhao, Shangguan
      – PersonEntity:
          Name:
            NameFull: Chen, Guo
      – PersonEntity:
          Name:
            NameFull: Xiao, Zhifang
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 15
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 0166218X
          Numbering:
            – Type: volume
              Value: 378
          Titles:
            – TitleFull: Discrete Applied Mathematics
              Type: main
ResultId 1